Suppose that f(x) is a differentiable periodic function of period 2. Assume the Fourier
Chapter 0, Problem 57(choose chapter or problem)
Suppose that f(x) is a differentiable periodic function of period 2. Assume the Fourier series of f is differentiable term by term. (a) If the Fourier coefficients of f are ak and bk, show that the Fourier coefficients of its derivative f are kbk and kak. (b) How are the amplitudes of the harmonics of f and f related? (c) How are the energy spectra of f and f related?
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